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121140240111 = 321129313893499
BaseRepresentation
bin111000011010010000…
…1010101111011101111
3102120200110201210212200
41300310201111323233
53441043400140421
6131352343432543
711515653023412
oct1606441257357
9376613653780
10121140240111
1147414564420
121b589755753
13b5674b6c67
145c1295bb79
153240139726
hex1c34855eef

121140240111 has 96 divisors (see below), whose sum is σ = 204422400000. Its totient is φ = 68404089600.

The previous prime is 121140240079. The next prime is 121140240121. The reversal of 121140240111 is 111042041121.

121140240111 is a `hidden beast` number, since 1 + 211 + 40 + 2 + 401 + 11 = 666.

It is not a de Polignac number, because 121140240111 - 25 = 121140240079 is a prime.

It is a super-3 number, since 3×1211402401113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121140240121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34619640 + ... + 34623138.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400000).

Almost surely, 2121140240111 is an apocalyptic number.

121140240111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121140240111 is a deficient number, since it is larger than the sum of its proper divisors (83282159889).

121140240111 is a wasteful number, since it uses less digits than its factorization.

121140240111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121140240111 its reverse (111042041121), we get a palindrome (232182281232).

The spelling of 121140240111 in words is "one hundred twenty-one billion, one hundred forty million, two hundred forty thousand, one hundred eleven".

Divisors: 1 3 9 11 29 31 33 87 93 99 261 279 319 341 389 899 957 1023 1167 2697 2871 3069 3499 3501 4279 8091 9889 10497 11281 12059 12837 29667 31491 33843 36177 38489 38511 89001 101471 101529 108469 108531 115467 124091 132649 304413 325407 346401 349711 372273 397947 913239 976221 1049133 1116181 1116819 1193159 1193841 1361111 3145601 3147399 3348543 3579477 3846821 4083333 9436803 10045629 10738431 11540463 12249999 14972221 28310409 34601611 34621389 39472219 42194441 44916663 103804833 118416657 126583323 134749989 311414499 355249971 379749969 434194409 464138851 1223638789 1302583227 1392416553 3670916367 3907749681 4177249659 11012749101 13460026679 40380080037 121140240111